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math-ph2011
A Wegner estimate for Wigner matrices
Anna Maltsev, Benjamin Schlein
In the first part of these notes, we review some of the recent developments in the study of the spectral properties of Wigner matrices. In the second part, we present a new proof o…
math-ph2010★ 5 cited
Average Density of States for Hermitian Wigner Matrices
Anna Maltsev, Benjamin Schlein
We consider ensembles of Hermitian Wigner matrices, whose entries are (up to the symmetry constraints) independent and identically distributed random variables. Assumi…
math-ph2009
Universality Limits of a Reproducing Kernel for a Half-Line Schrödinger Operator and Clock Behavior of Eigenvalues
Anna Maltsev
We extend some recent results of Lubinsky, Levin, Simon, and Totik from measures with compact support to spectral measures of Schrödinger operators on the half-line. In particular,…